Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 13, Trigonometric Ratios and Functions - 13.5 Apply the Law of Sines - 13.5 Exercises - Skill Practice - Page 886: 9


Configuration is: SSA, No Triangle.

Work Step by Step

Law of sines: $\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}$ Here, $B=34^{\circ}; a=16; b=5$ From the given measurements and information it can be seen that we have two sides and one angle which corresponds to $SSA$ configuration. $\dfrac{\sin A}{16}=\dfrac{\sin 34}{5} \implies \sin A \approx 1.7894$ The sine of any angle cannot be more than $1$, so this information yields that there is no triangle. Hence: Configuration is: SSA, No Triangle.
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